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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "A selection with at least a stated number of one kind"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Evaluate a 3x3 determinant by expansion #4

I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat

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Evaluate a 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

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Solve simultaneous equations using an inverse matrix #3

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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WAEC past-question practice: inverse matrices #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a

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WAEC past-question practice: inverse matrices #2

I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac

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WAEC past-question practice: inverse matrices #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style multi-part question: (a) find

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Quiz me on units of force

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Quiz me on the symmetry of the normal distribution curve

I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu

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Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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Explain friction and the coefficient of friction

I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t

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Solve a friction and forces of equilibrium problem #1

I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi

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Solve a friction and forces of equilibrium problem #2

I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict

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Solve a friction and forces of equilibrium problem #3

I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri

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Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

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